11303329457952 has 192 divisors, whose sum is σ = 37707295530240. Its totient is φ = 3226991505408.

The previous prime is 11303329457929. The next prime is 11303329457969. The reversal of 11303329457952 is 25975492330311.

11303329457952 is a `hidden beast` number, since 1 + 1 + 30 + 3 + 32 + 9 + 4 + 579 + 5 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6991528 + ... + 8455064.

It is an arithmetic number, because the mean of its divisors is an integer number (196392164220).

Almost surely, 2^{11303329457952} is an apocalyptic number.

11303329457952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11303329457952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18853647765120).

11303329457952 is an abundant number, since it is smaller than the sum of its proper divisors (26403966072288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11303329457952 is a wasteful number, since it uses less digits than its factorization.

11303329457952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1464840 (or 1464826 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 54.

The spelling of 11303329457952 in words is "eleven trillion, three hundred three billion, three hundred twenty-nine million, four hundred fifty-seven thousand, nine hundred fifty-two".